7379760960 has 840 divisors, whose sum is σ = 31245782568. Its totient is φ = 1642291200.

The previous prime is 7379760917. The next prime is 7379760991. The reversal of 7379760960 is 690679737.

It can be written as a sum of positive squares in 4 ways, for example, as 331822656 + 7047938304 = 18216^2 + 83952^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7379760897 and 7379760906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40772070 + ... + 40772250.

Almost surely, 2^7379760960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7379760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15622891284).

7379760960 is an abundant number, since it is smaller than the sum of its proper divisors (23866021608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7379760960 is a wasteful number, since it uses less digits than its factorization.

7379760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The square root of 7379760960 is about 85905.5350952428. The cubic root of 7379760960 is about 1946.9169743395.

The spelling of 7379760960 in words is "seven billion, three hundred seventy-nine million, seven hundred sixty thousand, nine hundred sixty".